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Finding the Fourth Proportional to 1,053.83, 1,452.98 and 804.76

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Solution

The fourth proportional to 1,053.83, 1,452.98 and 804.76 is: 1,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.83 : 1,452.98 = 804.76 : x
  2. Step 2: Convert to fraction form
    1,053.83/1,452.98 = 804.76/x
  3. Step 3: Cross multiply
    1,053.83x = 1,452.98 × 804.76
  4. Step 4: Simplify right side
    1,053.83x = 1,169,298.56
  5. Step 5: Solve for x
    x = 1,169,298.56/1,053.83
  6. Step 6: Final answer
    x = 1,109.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.